{"id":302,"date":"2025-09-01T14:49:14","date_gmt":"2025-09-01T06:49:14","guid":{"rendered":"https:\/\/heyingnian.com\/?p=302"},"modified":"2025-09-01T14:50:44","modified_gmt":"2025-09-01T06:50:44","slug":"leetcode-73","status":"publish","type":"post","link":"https:\/\/heyingnian.com\/index.php\/2025\/09\/01\/leetcode-73\/","title":{"rendered":"\u77e9\u9635\u7f6e\u96f6"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\ud83d\udd17 \u77e9\u9635\u7f6e\u96f6<\/h1>\n\n\n\n<p>\u9898\u76ee\u6765\u6e90\uff1a<a target=\"_blank\" rel=\"noreferrer noopener\"><a href=\"https:\/\/leetcode.cn\/problems\/set-matrix-zeroes\/description\/?envType=study-plan-v2&amp;envId=top-100-liked\" target=\"_blank\" rel=\"noopener\">73. \u77e9\u9635\u7f6e\u96f6 &#8211; \u529b\u6263\uff08LeetCode\uff09<\/a><\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udccc \u9898\u76ee\u63cf\u8ff0<\/p>\n\n\n\n<p>\u7ed9\u5b9a\u4e00\u4e2a <code>m x n<\/code> \u7684\u77e9\u9635 <code>matrix<\/code>\uff0c\u5982\u679c\u4e00\u4e2a\u5143\u7d20\u4e3a <code>0<\/code>\uff0c\u5219\u5c06\u5176<strong>\u6240\u5728\u884c\u548c\u5217\u7684\u6240\u6709\u5143\u7d20\u90fd\u8bbe\u4e3a 0<\/strong>\u3002\u8bf7\u4f7f\u7528 <strong>\u539f\u5730\u7b97\u6cd5<\/strong>\uff08\u5373\u76f4\u63a5\u4fee\u6539\u539f\u77e9\u9635\uff09\u5b8c\u6210\u3002<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u2705 \u793a\u4f8b\u89e3\u6790<\/p>\n\n\n\n<p><strong>\u793a\u4f8b 1<\/strong>\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"641\" height=\"241\" data-original=\"https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-303\"  sizes=\"auto, (max-width: 641px) 100vw, 641px\" \/><\/div><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>matrix = [[1,1,1],[1,0,1],[1,1,1]]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>[[1,0,1],[0,0,0],[1,0,1]]<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\u4e2d\u95f4\u7684\u00a0<code>0<\/code>\u00a0\u5bfc\u81f4\u7b2c 1 \u884c\uff08\u7d22\u5f15 1\uff09\u548c\u7b2c 1 \u5217\uff08\u7d22\u5f15 1\uff09\u5168\u90e8\u53d8\u4e3a\u00a0<code>0<\/code>\u3002<\/li>\n<\/ul>\n\n\n\n<p><strong>\u793a\u4f8b 2<\/strong>\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image-1.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"791\" height=\"241\" data-original=\"https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image-1.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-304\"  sizes=\"auto, (max-width: 791px) 100vw, 791px\" \/><\/div><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>matrix = [[0,1,2,0],[3,4,5,2],[1,3,1,5]]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>[[0,0,0,0],[0,4,5,0],[0,3,1,0]]<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\u7b2c\u4e00\u884c\u7684\u00a0<code>0<\/code>\u00a0\u5728\u7b2c 0 \u5217\u548c\u7b2c 3 \u5217\uff0c\u56e0\u6b64\u7b2c 0\u30013 \u5217\u548c\u7b2c 0 \u884c\u5168\u90e8\u7f6e\u96f6\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u26a0\ufe0f \u63d0\u793a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>m == matrix.length<\/code><\/li>\n\n\n\n<li><code>n == matrix[0].length<\/code><\/li>\n\n\n\n<li><code>1 &lt;= m, n &lt;= 200<\/code><\/li>\n\n\n\n<li><code>-2\u00b3\u00b9 &lt;= matrix[i][j] &lt;= 2\u00b3\u00b9 - 1<\/code><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udca1 \u89e3\u6cd5\uff1a\u54c8\u5e0c\u8868\u6807\u8bb0\u6cd5 \u2014\u2014 O(mn) \u65f6\u95f4\uff0cO(m + n) \u7a7a\u95f4<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>class Solution {\n    public void setZeroes(int&#91;]&#91;] matrix) {\n        if (matrix == null || matrix.length == 0 || matrix&#91;0].length == 0) {\n            return;\n        }\n\n        int m = matrix.length;\n        int n = matrix&#91;0].length;\n\n        Set&lt;Integer> rowsToZero = new HashSet&lt;>();\n        Set&lt;Integer> colsToZero = new HashSet&lt;>();\n\n        for (int i = 0; i &lt; m; i++) {\n            for (int j = 0; j &lt; n; j++) {\n                if (matrix&#91;i]&#91;j] == 0) {\n                    rowsToZero.add(i);\n                    colsToZero.add(j);\n                }\n            }\n        }\n\n        for (int i = 0; i &lt; m; i++) {\n            for (int j = 0; j &lt; n; j++) {\n                if (rowsToZero.contains(i) || colsToZero.contains(j)) {\n                    matrix&#91;i]&#91;j] = 0;\n                }\n            }\n        }\n    }\n}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udcca \u590d\u6742\u5ea6\u5206\u6790<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u65f6\u95f4\u590d\u6742\u5ea6\uff1aO(m \u00d7 n)<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u7b2c\u4e00\u6b21\u53cc\u91cd\u5faa\u73af\u904d\u5386\u77e9\u9635\uff1aO(mn)<\/li>\n\n\n\n<li>\u7b2c\u4e8c\u6b21\u53cc\u91cd\u5faa\u73af\u7f6e\u96f6\uff1aO(mn)<\/li>\n\n\n\n<li>\u603b\u4f53\u4e3a\u7ebf\u6027\u65f6\u95f4\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1aO(m + n)<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u4f7f\u7528\u4e24\u4e2a\u00a0<code>HashSet<\/code>\uff1a<code>rowsToZero<\/code>\u00a0\u6700\u591a\u5b58\u50a8\u00a0<code>m<\/code>\u00a0\u4e2a\u884c\u53f7\uff0c<code>colsToZero<\/code>\u00a0\u6700\u591a\u5b58\u50a8\u00a0<code>n<\/code>\u00a0\u4e2a\u5217\u53f7\u3002<\/li>\n\n\n\n<li>\u56e0\u6b64\u989d\u5916\u7a7a\u95f4\u4e3a O(m + n)\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83e\udde9 \u89e3\u9898\u601d\u8def<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6838\u5fc3\u601d\u60f3\uff1a\u5148\u8bb0\u5f55\uff0c\u518d\u7f6e\u96f6<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u4e0d\u80fd\u8fb9\u904d\u5386\u8fb9\u7f6e\u96f6\uff0c\u5426\u5219\u4f1a\u6c61\u67d3\u540e\u7eed\u5224\u65ad\uff08\u628a\u539f\u672c\u4e0d\u662f 0 \u7684\u53d8\u6210 0\uff0c\u5bfc\u81f4\u9519\u8bef\u6269\u6563\uff09\u3002<\/li>\n\n\n\n<li>\u6b63\u786e\u505a\u6cd5\uff1a<strong>\u5148\u626b\u63cf\u4e00\u904d\uff0c\u8bb0\u5f55\u54ea\u4e9b\u884c\u548c\u5217\u9700\u8981\u7f6e\u96f6<\/strong>\uff0c\u7136\u540e\u518d\u7edf\u4e00\u5904\u7406\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e24\u6b65\u8d70\u7b56\u7565<\/strong>\uff1a\u00a0<strong>\u6b65\u9aa4 1\uff1a\u6536\u96c6\u4fe1\u606f<\/strong><ul><li>\u4f7f\u7528\u4e24\u4e2a\u96c6\u5408\uff1a<ul><li><code>rowsToZero<\/code>\uff1a\u5b58\u50a8\u6240\u6709\u5305\u542b\u00a0<code>0<\/code>\u00a0\u7684\u884c\u7d22\u5f15\u3002<\/li><li><code>colsToZero<\/code>\uff1a\u5b58\u50a8\u6240\u6709\u5305\u542b\u00a0<code>0<\/code>\u00a0\u7684\u5217\u7d22\u5f15\u3002<\/li><\/ul><\/li><li>\u904d\u5386\u6574\u4e2a\u77e9\u9635\uff0c\u4e00\u65e6\u53d1\u73b0\u00a0<code>matrix[i][j] == 0<\/code>\uff0c\u5c31\u5c06\u00a0<code>i<\/code>\u00a0\u52a0\u5165\u884c\u96c6\u5408\uff0c<code>j<\/code>\u00a0\u52a0\u5165\u5217\u96c6\u5408\u3002<\/li><\/ul><strong>\u6b65\u9aa4 2\uff1a\u6267\u884c\u7f6e\u96f6<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u518d\u6b21\u904d\u5386\u6574\u4e2a\u77e9\u9635\u3002<\/li>\n\n\n\n<li>\u5bf9\u4e8e\u6bcf\u4e2a\u4f4d\u7f6e\u00a0<code>(i, j)<\/code>\uff0c\u5982\u679c\u00a0<code>i<\/code>\u00a0\u5728\u00a0<code>rowsToZero<\/code>\u00a0\u4e2d\u00a0<strong>\u6216<\/strong>\u00a0<code>j<\/code>\u00a0\u5728\u00a0<code>colsToZero<\/code>\u00a0\u4e2d\uff0c\u5219\u5c06\u5176\u7f6e\u4e3a\u00a0<code>0<\/code>\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e3a\u4ec0\u4e48\u9700\u8981\u4e24\u4e2a\u96c6\u5408\uff1f<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u56e0\u4e3a\u4e00\u4e2a\u00a0<code>0<\/code>\u00a0\u4f1a\u5f71\u54cd\u4e00\u6574\u884c\u548c\u4e00\u6574\u5217\u3002<\/li>\n\n\n\n<li>\u6211\u4eec\u9700\u8981\u8bb0\u4f4f\u6240\u6709\u201c\u88ab\u6c61\u67d3\u201d\u7684\u884c\u548c\u5217\uff0c\u4e0d\u80fd\u53ea\u8bb0\u4e00\u4e2a\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e3e\u4f8b\u8bf4\u660e<\/strong>\uff1a<br>\u5bf9 <code>matrix = [[1,1,1],[1,0,1],[1,1,1]]<\/code>\uff1a\n<ul class=\"wp-block-list\">\n<li>Step 1: \u53d1\u73b0\u00a0<code>matrix[1][1] == 0<\/code>\u00a0\u2192\u00a0<code>rowsToZero = {1}<\/code>,\u00a0<code>colsToZero = {1}<\/code><\/li>\n\n\n\n<li>Step 2: \u904d\u5386\u6240\u6709\u4f4d\u7f6e\uff0c\u51e1\u662f\u884c\u53f7\u4e3a 1 \u6216\u5217\u53f7\u4e3a 1 \u7684\u90fd\u7f6e 0 \u2192 \u7b2c 1 \u884c\u548c\u7b2c 1 \u5217\u5168\u53d8 0 \u2705<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u8fb9\u754c\u5904\u7406<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u7a7a\u77e9\u9635\u6216\u7a7a\u884c\uff1a\u76f4\u63a5\u8fd4\u56de\u3002<\/li>\n\n\n\n<li>\u6ca1\u6709\u00a0<code>0<\/code>\uff1a\u96c6\u5408\u4e3a\u7a7a\uff0c\u4e0d\u8fdb\u884c\u4efb\u4f55\u7f6e\u96f6\u64cd\u4f5c\u3002<\/li>\n\n\n\n<li>\u5168\u662f\u00a0<code>0<\/code>\uff1a\u6240\u6709\u884c\u548c\u5217\u90fd\u4f1a\u88ab\u8bb0\u5f55\uff0c\u6700\u7ec8\u6574\u4e2a\u77e9\u9635\u4ecd\u4e3a\u00a0<code>0<\/code>\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udd17 \u77e9\u9635\u7f6e\u96f6 \u9898\u76ee\u6765\u6e90\uff1a73. \u77e9\u9635\u7f6e\u96f6 &#8211; \u529b\u6263\uff08LeetCode\uff09 \ud83d\udccc \u9898\u76ee\u63cf\u8ff0 \u7ed9\u5b9a\u4e00\u4e2a m [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37,12],"tags":[15,31,49,14],"class_list":["post-302","post","type-post","status-publish","format-standard","hentry","category-matrix","category-algorithm","tag-hash","tag-array","tag-matrix","tag-algorithm"],"_links":{"self":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/302","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/comments?post=302"}],"version-history":[{"count":1,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/302\/revisions"}],"predecessor-version":[{"id":305,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/302\/revisions\/305"}],"wp:attachment":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/media?parent=302"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/categories?post=302"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/tags?post=302"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}